Magic State Factory Catalog

[\![720,\,8,\,2]\!]

One factory with n=720 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[720, 8, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7} pure T6.49213d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![696,\,8,\,2]\!] · [\![632,\,8,\,2]\!] · [\![630,\,8,\,2]\!] · [\![584,\,8,\,2]\!] · [\![568,\,8,\,2]\!] · [\![567,\,8,\,2]\!] · [\![555,\,8,\,2]\!] · [\![532,\,8,\,2]\!] · [\![528,\,8,\,2]\!] · [\![527,\,8,\,2]\!] · [\![400,\,8,\,2]\!] · [\![1071,\,8,\,2]\!]